Mechanical Engineering - Hydraulics and Fluid Mechanics - Discussion

@All.

The statement is not correct.
The total pressure on the bottom of a closed cylindrical vessel completely filled with a liquid is not the sum of the total centrifugal pressure and the weight of the liquid in the vessel. Instead, it's the result of the hydrostatic pressure due to the weight of the liquid.

Here's why;

Hydrostatic Pressure: The primary contributor to the pressure at the bottom of a liquid-filled vessel is hydrostatic pressure. This pressure is due to the weight of the liquid above the point in question. The hydrostatic pressure increases with depth within the liquid and depends on the density of the liquid, the acceleration due to gravity, and the depth of the point below the liquid surface.

Centrifugal Pressure: Centrifugal pressure, as mentioned earlier, is the apparent outward force experienced by a fluid in a rotating system. In a closed cylindrical vessel that is not rotating, there is no significant centrifugal pressure acting on the liquid.

So, in a stationary cylindrical vessel filled with liquid, the pressure at the bottom is solely due to the weight of the liquid, and it is calculated using the hydrostatic pressure formula:

P=ρ⋅g⋅h.

Where:
P is the pressure at the bottom.
ρ is the density of the liquid.
g is the acceleration due to gravity.
h is the depth of the point below the liquid surface.
There is no need to consider centrifugal pressure unless the vessel is rotating, in which case you would need to account for the additional pressure generated by the centrifugal force, but that is a different scenario.